1 A balanced experiment does not benefit from the use
1. A balanced experiment does not benefit from the use of randomization to assign the treatments to the subjects.
2. The one-way analysis of variance requires balanced data, with an equal number of observations in each group.
3. A two-sample t-test that pools the variances is equivalent to a simple regression of the response on a single dummy variable.
4. The intercept in a regression of Y on a dummy variable X is the difference between the mean of Y for observations with x = 0 and the mean of Y for observations with x = 1.
5. A regression model that uses only dummy variables as explanatory variables is known as an analysis of variance.
6. A fitted value ŷ in a one-way ANOVA is the mean for some group defined by the explanatory dummy variables.
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